The probability of drawing 2 cards in succession (without replacement) from a standard deck and having them both be face cards is 0.050
Since, a deck of cards contain 52 cards,
So, we have the value of sample space = n(S)=52
Consider the following values
A=in first draw there is a face card but
B= in the second draw there is a face card
[tex]$$\begin{aligned}& E=\{\boldsymbol{\bullet} J, \bullet J, \boldsymbol{\bullet} J, \boldsymbol{\wedge} J, \bullet Q, \bullet Q, \bullet Q, \wedge Q, \bullet \mathrm{K}, \bullet \mathrm{K}, \boldsymbol{\bullet} \mathrm{K}, \boldsymbol{\wedge} \mathrm{K}\} \\& n(E)=12\end{aligned}$$[/tex]
The probability in the first draw is a face card will be
P(A)=(12/52)
The Probability in the second draw there is also a face card will be
(B/A)=(11/52)
Now, from the formula for P(A and B),
We will get it as:
[tex]$$P(A \cap B)=P(A) \times P\left(\frac{B}{A}\right)$$[/tex]
Therefore,
[tex]P(A \cap B) & =\frac{12}{52} \times \frac{11}{51}[/tex]
=(132/2652) = 0.052
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Can absolute value be less than zero?
The absolute value of a number can never be less than zero, because the graph has a minimum value of 0 and is never negative, never below the x-axis.
If the absolute value is less than zero, there is no solution.
If the absolute value is less than or equal to zero, there is one solution.
If the absolute value is greater than zero, the solution is all real numbers
except for the value which makes it equal to zero, this will be written as a union.
The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.
It is represented as |a|, which defines the magnitude of any integer ‘a’.
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin of a number line or coordinate system.
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4) To cook 10 cups of rice, Martha used 18 cups of water. If Martha cooks 12 cups of rice, how much water does she need?
Answer:
To cook 10 cups of rice, Martha used 18 cups of water. We know that this is a proportion of the amount of water needed to the amount of rice cooked:
10 cups of rice : 18 cups of water = x : y
We also know that x is the amount of water needed to cook 12 cups of rice.
To find out how much water Martha needs, we can keep the proportion and substitute the known value of x.
10 cups of rice : 18 cups of water = 12 cups of rice : y
We can cross multiply to get:
10 * y = 18 * 12
y = 18 * 12 / 10
y = 21.6 cups
Therefore, Martha needs 21.6 cups of water to cook 12 cups of rice.
If a coin is flipped four times, find the probability distribution for the number of heads. Listed below are four charts. Choosethe chart that best evaluates the data.a. Chart Ab, Chart Bc. Chart Cd. Chart D
If a coin is flipped four times, find the probability distribution for the number of heads. The correct option is (c) is Chart C.
In probability theory and statistics, a probability distribution is a mathematical function that gives the probability of occurrence of various possible outcomes of an experiment. This is a mathematical description of a random phenomenon in terms of sample space and event probabilities (a subset of the sample space).
For example, if X is used to denote the result of a coin toss ("experimental"), the probability distribution of X gives the value 0.5 (1 to 2 or 1/2) for X = table. and assume that: 0, 5 for X = tail (assuming the coin is fair). Examples of random phenomena are the weather conditions at a later date, the height of a randomly selected person, the proportion of boys in a school, or the results of a survey being conducted.
General Properties of Probability Distributions
Statisticians call variables that follow probability distributions random variables. The notation for a random variable that follows a particular probability distribution function is
X usually represents a random variable.
Tilde (~) indicates follow distribution.
Upper case indicates distribution. B. N for normal distribution.
Bracket contains the parameters of the distribution.
For example, X ~ N (µ, σ) represents a normally distributed distribution with population mean µ and standard deviation σ. The distribution of IQ scores is represented as X ~ N (100, 15).
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Solve using substitution y=-4x+1 y=6x-9
Answer:
x = 1
y = -3
(1,-3)
Step-by-step explanation:
Set the 2 equations equal to each other and solve for x
-4x + 1 = 6x - 9 Add 4x from both sides
-4x + 4x + 1 = 6x + 4x -9
1 = 10x - 9 Add 9 to both sides
1 + 9 = 10x - 9 + 9
10 = 10x Divide both sides by 10
[tex]\frac{10}{10}[/tex] = [tex]\frac{10x}{10}[/tex]
1 = x
substitute 1 for x in either of the two original equations to solve for y
y = -4x + 1
y = -4(1) + 1
y = -4 + 1
y = -3
Check
y = -4x + 1
-3 = -4(1) + 1
-3 = -4 + 1
-3 = -3 Checks
y = 6x - 9
-3 = 6(1) - 9
-3 = 6 - 9
-3 = -3 Checks
A corporate iued a bond with a face value of Php 2,000, a 6% coupon, and a 10-year maturity date. How much will the corporation pay to the bondholder?
The corporation will pay the bondholder a total of Php 1,200 + Php 2,000 = Php 3,200 over the life of the bond.
A bond's coupon is the annual interest payment that the bond issuer promises to pay to the bondholder. In this case, the bond has a face value of Php 2,000 and a 6% coupon, so the annual interest payment is 6% * Php 2,000 = Php 120.
The bond has a maturity date of 10 years, so the total interest payments to the bondholder over the life of the bond will be Php 120 * 10 = Php 1,200.
In addition to the interest payments, the bond issuer also promises to return the bondholder the face value of the bond at the maturity date. In this case, the face value of the bond is Php 2,000.
So, the corporation will pay the bondholder a total of Php 1,200 + Php 2,000 = Php 3,200 over the life of the bond.
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Is Edgar or Ernesto correct?
Answer:
Edgar
Step-by-step explanation:
The domain of people would be the natural numbers 20 -25.
Ernesto domain would allow for 1/2 people and .75 if people. Willa only wants to invite whole people.
i-Ready
An employee records the number of minutes it takes each team to complete the escape room
this week. The dot plot shows the data.
Understand Statistical Questions - Quiz - Level F
What is the range of the data set?
? minutes
K
+
Escape Room
40 41 42 43 44 45 46 47 48 49 50
Time to Complete (min)
i did 21
for thre firdse then ib did 9
what is the expected number of cards that need to be turned over in a regular 52 card deck in order to see the first ace
In a standard 52-card deck, 10.6 turns of the cards are anticipated before the first ace is seen.
What exactly is a ship's deck?A deck is a structure that covers a sea bed or a compartment permanently. The primary or top deck on a boat or ship is the horizontal support that acts as the hull's "roof," reinforcing it and providing the main working area.
An n-card deck will often need turning over (n+1)/(k+1) cards before the initial set of k notes can be seen. Given that there have been four aces and n=52, k=4, the solution is 53/5, which is 10.6.
The predicted count is therefore increased by 1/(k+1) for each non-target card, such as a card that wasn't an ace there in original question. Since there are n-k – anti cards, (n-k)/(k+1) is the anticipated group of non cards to appear prior to the initial target card. Because the initial target card increases the count by one, we may predict that (n-k)/(k+1) + 1 Equals (n+1)/(k+1).
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an airplane flies 2300 km in 2 1/2 hours. what is its average speed in kilometers per hour?
Answer:
920km/hr
Step-by-step explanation:
speed=distance/time
distance= 2300km
time=2 1/2 hours
2300÷5/
2300× 2/5=
920km/
The average speed of an airplane is 920 Km/hr.
We know that,
The average speed of a plane is the distance covered by it in an hour.
average speed = total Distance covered/ total time taken
s = d/t
According to the question,
d = 2300 km.
t = 2.5 hrs.
speed (s) = d/t
= 2300 km/ 2.5 hrs.
= 920 km./hr.
Hence, the speed of the Airplane is 920 km/hr.
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Find the value of x in the
following parallelogram:
11
2x-1
x = [?]
7
ANSWER:
x = 4
STEP BY STEP EXPLANATION:
See attachment for complete question
From the attachment, the parallelogram has two diagonals. And the diagonals of a parallelogram bisect one another.
Because 2x - 1 and 7 are opposite sides of a diagonal; We can say that:
2x - 1= 72x−1=7
Add 1 to both sides
2x - 1 + 1 = 7 + 12x−1+1=7+1
2x = 82x=8
Divide through by 2
x =4
What is the probability of flipping 5 coins on the same side, that is getting either all heads or all tails? give the exact decimal answer without rounding.
Answer:
Each coin has 2 outcomes when flipping (it may be head or tail), so the possibility to flip head is equal to possibility to flip tail and is .
If you are flipping three times, then using the product rule you can conclude that the possibility to get three heads is equal to possibility to get three tails and is:
Step-by-step explanation:
If M (2, 1) and N (8, 1) are two of the vertices of a rectangle, which of the following cannot be another of the vertices?
1. (2, 8)
2. (8, 2)
3. (2, -8)
4. (-2, 8)
5. (8, 8)
Answer:
It can't be (-2,8) as u can't join (2,1) and (8,1) with (-2,8) without it ruining the rectangle.
Can someone help me solve this math problem in a quadratic model
The existence of positive integers is a given,Therefore, 8, 9, and 10 are three consecutive whole numbers.
What is quadratic model?A mathematical model that may be expressed as a series of quadratic equations or as a quadratic equation, such as Y = aX2 + bX + c. When a quadratic equation is graphed, the connection between the variables is represented by a parabola. contrasting the linear model
The numbers should be x, x + 1, and x + 2.
Then, in response to the query, x 2
x ^2 + (x + 1)(x + 2) = 9.
2x^2 +3x - 9 =(2x+19)(x8)=0. + (x + 1)(x + 2) = 9.
It results in x=2 19,8.
Since the existence of positive integers is a given.
Therefore, 8, 9, and 10 are three consecutive whole numbers.
Use the following to solve any quadratic equations problem:
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Pls helpppp!
What’s 4,807.50 plus 22%
Answer: 5865.15
Step-by-step explanation:
If the measure of ∠4 = 55°, then the measure of ∠2
Step-by-step explanation:
∠4=55
or, ∠=55/4 or,∠=13.75
∠2=?
or, ∠2=13.75*2
or,∠2=27.5
In August, Billy Quinlin deposited a total of $724 into his checking account.
He wrote $585.27 in checks, had a service charge of $29.00 and earned
$10.00 in interest. If his current balance is 239.46, what was his previous
balance?
The previous balance in the account is equivalent to $68.303.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that in August, Billy Quinlin deposited a total of $724 into his checking account. He wrote $585.27 in checks, had a service charge of $29.00 and earned $10.00 in interest. If his current balance is 239.46.
Assume that the initial cost was ${x}. So the total cost after depositing $724, the total amount will be ${x + 724}.
Total amount withdrawn = $585.27 + $29 = $614.27
Amount earned after interest -
10% of 614.27
(10/100) x 614.27
$61.427
Now, we can write -
{x + 724} - {614.27} + {61.427} = {239.46}
{x + 724} + {61.427} = {239.46 + 614.27}
x + 785.427 = 853.73
x = 853.73 - 785.427
x = 68.303
Therefore, the previous balance in the account is equivalent to $68.303.
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a department store chain is expanding into a new market, and is considering 14 different sites on which to locate 7 stores. assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected?
17297280 ways can the sites for the new stores be selected. This can be solved using the concept of probability.
What is probability?The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Given that,
14 different sites on which to locate 7 stores
For store 1, it can be placed on 14 sites.
Store 2 can be placed on 13 sites (since store 1 is already on site 1).
Store 3 can be placed on 12 sites and
so on until store 7 which has 8 sites.
Therefore the number of ways is:
C = 14 × 13 × 12 × 11 × 10 × 9 × 8
C = 17297280 ways
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Pls Answer ASAP!
The following problem shows an expression in exponential notation. The missing powers of 10 are represented by letters.
Type the powers into the boxes that correspond to each letter. Use a slash (/) to show a fraction. Use a caret (^) before an exponent.
61.32 = 6 x A + 1 x B + 3 x C + 2 x D
The powers that correspond to each letter are given as follows:
A = 1.B = 0.C = -1.D = -2.How to obtain the powers that correspond to each letter?The number for this problem is defined as follows:
61.32.
Before obtaining the powers that correspond to each letter, we need to obtain the integer and decimal parts, as follows:
Integer: 61.Decimal: 32.Then the digits are classified as follows:
Digit 1 is the unit digit, hence the power of 10 is 0, which is the value of B.Digit 6 is the tens digit, hence the power of 10 is 1, which is the value of A.Digit 3 is the tenths digit, hence the power of 10 is -1, which is the value of C.Digit 2 is the hundredths digit, hence the power of 10 is -2, which is the value of D.More can be learned about integer and decimal parts at https://brainly.com/question/1827193
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question in a certain town in north america. the time of sunrise for any day of the year can be found using the equation where is the time in hours after midnight and is the number of the day in the year. to the nearest minute, when did the sun rise on december 25th, the 359th day of the year?
t = 4.9029 for Given the equation t = -0.0069d + 7.35, where t is the time of sunrise in hours after midnight and d is the number of the day in the year,
To find the time of sunrise on December 25th, the 359th day of the year, we need to substitute 359 for d in the equation.
t = -0.0069(359) + 7.35
t = -2.4471 + 7.35
t = 4.9029
This means that the time of sunrise on December 25th is 4.9029 hours after midnight. To convert this to minutes, we can multiply 4.9029 by 60 (since there are 60 minutes in an hour).
4.9029 x 60 = 294.174
So the sun rose on December 25th at 294.174 minutes after midnight, which is equivalent to 4 hours and 54 minutes (294 minutes) after midnight. To the nearest minute, the sun rose on December 25th at 4:54 AM.
As the moon moves in its orbit, its side where it gets illuminated by the Sun also changes.
On a full moon day, the moon rises at the time of sunset and sets at the time of sunrise the next day.
On the night of a third quarter, the moon rises at midnight and sets during the noon period of the other day.
At first quarter, the moon rises at noon and gets set by the time of mid- night.
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Find the area of a rhombus, to the nearest square centimeters, whose diagonals have a length of 40 centimeters and 26 centimeters
Given the
Diagonal length 1 (d1) =40cm
diagonal length 2 (d2) =26cm
area of rhombus,
= 1/2 (d1 × d2)
=1/2 (40×26)
=520[tex]cm^2[/tex]
Hence the area of the rhombus whose diagonals are 40 centimeters and 26 centimeters comes out to be 520[tex]cm^{2}[/tex].
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Which group of players in the game of economics both produces and uses goods and services?
Responses
workers
producers
producers
distributors
distributors
consumers
Which is the purpose of a budget?
Responses
finding the lowest prices for goods and services
finding the lowest prices for goods and services
conserving on scarce natural resources
conserving on scarce natural resources
weighing the information needed to make rational decisions
weighing the information needed to make rational decisions
keeping their expenses below their income
Why are some people more committed to saving for retirement than other people?
Responses
Some people don't think they'll need to retire.
Some people don't think they'll need to retire.
Not everyone will need money in order to survive during retirement.
Not everyone will need money in order to survive during retirement.
Many people move from one job to another many times before retiring.
Many people move from one job to another many times before retiring.
Different people look at future risks differently.
Which best describes the purpose of advertising?
Responses
transmit product messages to an audience
transmit product messages to an audience
increase subscription prices
increase subscription prices
generate high-quality content
generate high-quality content
balance programming schedules
Which type of business is most likely to use the bricks-and-clicks business model?
Responses
newspapers
newspapers
construction companies
construction companies
grocery stores
grocery stores
clothing sellers
What is a business model that a company follows?
Responses
held files
held files
business plan
business plan,
corporate charter
1. The group of players in the game of economics both produces and uses goods and services are producers and consumers
2. The purpose of a budget is keeping their expenses below their income
3. Some people are more committed to saving for retirement than other people because different people look at future risks differently.
4. The sentence that best describes the purpose of advertising is transmit product messages to an audience
5. The type of business that is most likely to use the bricks-and-clicks business model are: newspapers, grocery stores, and clothing sellers
6. The business model that a company follows is a business plan
What is a business model?A business model is a plan that outlines how a company intends to generate revenue and make a profit. It lays out the company's value proposition, target market, marketing and sales strategies, and the structure of the company's operations and finances. Examples of business models include subscription-based models, advertising-based models, and product-based models.
Therefore, the correct answers are as given above
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How do you construct 1/3 of a segment?
To steps to construct a line segment that is 1/3 the length of the given segment is:
Draw a line segment CD of any length.
Fix the compass's end on C and pencil on D. This gives the length of CD.
Now divide the length of CD by 3. That is the 1/3 the length of CD.
Draw a line 1. Mark a point A on line 1. Change compass's setting into 1/3 the length of CD, place the compass at A.
Make an arc on the line l which cuts l at B. Now, AB is a copy of CD which is 1/3 the length of CD.
What is line segment?
A line segment is bounded by two definite points on a line. We also can say a line segment is part of the line which connects two points. A line has no endpoints and extends immensely in both the direction but a line segment has two fixed or distinct endpoints.
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a 342-inch pipe is cut into two pieces one piece is five times the length of the other. Find the lengths of the two pieces
Answer:
285 and 57Step-by-step explanation:
First, find the length of the longer pipe, which is stated to be 5 times longer than the shorter piece. Substitute the longer piece as b. Same for the shorter piece, but as a.
[tex]a + b = 342\\5b\:+\:? = 342\\a = 5b[/tex]
Why a is 5b is because a is the correspondent value to b since they are both substituted, in short words this means that a will be the equivalent of |5 × b - 342|
Next, we substitute the problem in a ruled equation. Think of it this way: There are 2 values in the equation. One has a value of 5 and the other has a value of one. Add those together, and you get 6, right? This will be important for our final answer.
[tex]6b\div 6 = 342\div 6\\b = 57[/tex]
Lastly, substitute a.
[tex]a + b = 342\\a + \bold{57} = 342\\a = \left(342 - 57\right)\\\\a = 285\\b = 57[/tex]
Hope this helps!
Find the area of the parallelogram ABJF
Answer:
A = 9 units²
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = AB = 3 and h = BF = 3 , then
A = 3 × 3 = 9 units²
Need help. Use each given circle O. Find the indicated measures
Step-by-step explanation:
1.
central (arc) angle is twice the inscribed angle (at the arc).
127° = 2A
angle A = 127/2 = 63.5°
2.
the full circle are 360°.
127° are arc angle CT, that leaves
360 - 127 = 233° for the arc angle C A T.
3.
the central angle at O opposite of the indicated 96° angle is (due to the rules of intersecting lines) also 96°.
the triangle M-O-A is an isoceles triangle (because both legs are a radius of the circle).
that makes angles A and M equally sized.
as the sum of all angles in a triangle is always 180°,
angle A = angle M = (180 - 96)/2 = 84/2 = 42°
4. see 3.
5.
the sum of all angles around one point on one side of a line is also always 180° (they represent a half-circle).
so, the top and the bottom angle at O are supplementary to the 96° angle (together they have 180°).
so, each is 180 - 96 = 84°
that means
arc angle M N A = 84 + 96 + 84 = 264°
6.
arc angle A F = 95°
arc angle A N = 103°
therefore, arc angle F N = 360 - 103 - 95 = 162°
as explained in 1.
angle A = arc angle F N/2 = 162/2 = 81°
7.
the triangles J-E-N and J-A-N have the same inscribed angle at the arc.
angle A = angle E (I cannot read the number at E).
8.
arc angle J A N + arc angle JN = 360
arc angle J N = 2× angle E
arc angle J A N = 360 - 2× angle E (again the number there is unreadable to me).
9.
again the inscribed angle at the arc is half of the opposite arc angle.
angle Y = arc angle T A / 2 = 70/2 = 35°.
10.
we have the arc angles S Y (134°) and T A (70°).
the 2 missing arc angles to make the whole circle are equally large due to T S and A T being equally long.
so,
arc angle S T = (360 - 134 - 70)/2 = 156/2 = 78°
Let a function
of 2 variables be defined by h(x, y) = x² + 3xy-(y-x), what is the value of h(5,4)
The value of h(5,4) is 86 in the given function h(x, y) = x² + 3xy-(y-x)
What is a function ?
function can be defined as the relation in which it relates an input to the output.
Given ,
Let a function of 2 variables be defined by
h(x, y) = x² + 3xy-(y-x),
So, the value of h(5,4)
put x = 5 and y = 4 in the function h(x, y) = x² + 3xy-(y-x)
h (5,4) = 5*5 + 3*5*4 - (4-5)
h(5,4) = 25 + 60 - (-1)
h(5,4) = 25+60+1
h(5,4) = 86
Hence, The value of h(5,4) is 86
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Please help meee step by step
Answer: 36.5 miles
Step-by-step explanation:
It looks like you have the right idea! You simply need to divide the 438 miles by the 12 days to find the miles traveled per day. This results in 438 / 12 = 36.5
what conditions must be met to use z procedures in a significance test about a population proportion? the population is greater than 10 times the sample size. the sample size is greater than 20. the probability of success multiplied by the sample size is greater than or equal to 10, and the probability of failure multiplied by the sample size is greater than or equal to 10. i and iii only ii and iii only i only ii only iii only
The population is greater than 10 times the sample size is supposed to be met to use z procedures in a significance test about a population proportion.
The collection of data is gathered and chosen from a statistical population with the use of some prescribed techniques in both statistics and quantitative methodology. Data sets may be divided into two categories: sample and population.
All the components of the data set are included in the population, which also contains quantifiable qualities like mean and standard deviation.
A sample is made up of one or more observations that are taken from the population, and a statistic is what makes a sample quantifiable. The act of sampling is the selection of a sample from a population.
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What is the name of a grassroots group that has focused on women’s suffrage and civil rights?
Answer:
The National American Woman Suffrage Association (NAWSA) was an organization formed on February 18, 1890, to advocate in favor of women's suffrage in the United States.
(Have a nice day)
A rectangular field that measures 24 feet by 20 feet must be increased by a scale factor of 1.6. The new dimensions of the field will be____feet by 32 feet.
A. 36
B. 15
C. 38.4
D. 25.6
Answer:
Step-by-step explanation:
here is a step-by-step explanation of how to find the new dimensions of the field:
Start with the original dimensions of the field: 24 feet by 20 feet
Apply the scale factor of 1.6 to the length (24 feet): 24 feet * 1.6 = 38.4 feet
Apply the scale factor of 1.6 to the width (20 feet): 20 feet * 1.6 = 32 feet
The new dimensions of the field are: 38.4 feet by 32 feet.
